You could do this with a fake center stile. Have both doors the same width, and attach a trim piece to the back of one side instead of having the doors open individually. This would be like double entry doors where the normally closed door has a stop so the primary door doesnt go too far into the opening. This takes a bit of getting used to because you have to open the one door first but after a bit it is second nature. We have a couple cabinets where the doors partially overlap and the right door is on the outside.

No. Follow your instincts and choose the appliances that work best for you. I have a Frigidaire fridge and range and a Bosch dishwasher. In my old house I had a Siemens (made by Bosch) dishwasher and a Kenmore fridge and range. Sometimes this means the handles will be different which doesn't bother me, but make sure it doesn't bother you.

I have a wall in my family room that consists of two large windows and a sliding patio door. The entire wall is taken up with these three items. Each of them are about 2 inches apart. I want to put blinds on the windows because of the sun and still be able to see out a bit but blinds won’t work on the sliding door.

How about picking a different for each. The two with the same tile for the guest baths and the other for the master. Or do all the same floor tiles but different cabinets and/or counters if you like.